Regularity bounds by minimal generators and Hilbert function

DOI10.1007/BF03191218zbMath1188.14020MaRDI QIDQ1022279

Maria Grazia Marinari, Luciana Ramella, Francesca Cioffi

Publication date: 10 June 2009

Published in: Collectanea Mathematica (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/42152

zbMATH Keywords

Hilbert functionCastelnuovo-Mumford regularityminimal generators

Mathematics Subject Classification ID

Vanishing theorems in algebraic geometry (14F17) Plane and space curves (14H50) Computational aspects of algebraic curves (14Q05)

Related Items (5)

On Rational Varieties Smooth Except at a Seminormal Singular Point ⋮ Minimal Castelnuovo–Mumford Regularity for a Given Hilbert Polynomial ⋮ When the positivity of the \(h\)-vector implies the Cohen-Macaulay property ⋮ Numerically deciding the arithmetically Cohen-Macaulayness of a projective scheme ⋮ Liaison and Cohen-Macaulayness conditions

Uses Software

• CoCoA

Cites Work

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• Gorenstein Algebras and the Cayley-Bacharach Theorem
• Vanishing Theorems, A Theorem of Severi, and the Equations Defining Projective Varieties
• Degree bounds for generators of cohomology modules and Castelnuovo-Mumford regularity
• Degrees of generators of ideals defining curves in projective space
• Liaison and Castelnuovo-Mumford regularity
• Sharp bounds on Castelnuovo-Mumford regularity

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